测量数据包丢失和量化影响下的H_∞控制

H_∞ control under measuring packet loss and quantification

基于状态观测器研究了具有测量数据丢失的多输入多输出(MIMO)线性离散系统的量化H_∞动态输出反馈控制问题。每路输出采用一个独立的静态对数量化器,采用扇形界方法来描述量化误差,且采用满足Bernoulli分布的序列来描述网络传输数据的丢失,预先假设数据丢失的概率。然后,将量化控制问题转化为范数不确定系统的控制问题,进而采用线性矩阵不等式(LMI)方法设计状态观测器和输出反馈控制器,使得系统均方指数稳定并具有给定的H_∞性能。数值仿真验证了设计方法的有效性。

A state observer-based quantized H∞ dynamic output feedback problem was proposed for linear discrete-time MIMO systems with missing measurement data. A separate and static logarithmic quantizer for each output channel was modeled, and the sector bound approach was used to describe the quantization error. At the same time, a Bernoulli distributed white sequence was used to describe missing data and the probability of the occurrence of missing measurement data was assumed to be known. Then, the quantized control problem was turned to the control problem of uncertainty systems. Next, the state observer and the out-put feedback controller were designed in term of the linear matrix inequality （LMI） method to make the systems exponential mean-square stable and satisfy the prescribed H∞ performance of the systems. Finally, a numerical example was provided to demonstrate the validity of the proposed design approach.